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What should come in place of the question mark (?) in the given series? 44, 48, 52, 56, 60, 64, ?
66
68
70
72
68
Observe the constant difference between consecutive terms. In this series, the difference is +4 for every step.
Observe the constant difference between consecutive terms. In this series, the difference is +4 for every step.
Analyze the progression
Calculate the difference between each consecutive term: 48 - 44 = 4; 52 - 48 = 4; 56 - 52 = 4; 60 - 56 = 4; 64 - 60 = 4.
Determine the next term
Since the constant difference is +4, add 4 to the last given term: 64 + 4 = 68.
A: 66 is incorrect as the difference from 64 is 2; C: 70 is incorrect as the difference from 64 is 6; D: 72 is incorrect as the difference from 64 is 8.
B is correct because the series follows a consistent addition pattern of +4, and 64 plus 4 equals 68.
For any number series, always find the differences between the first 3-4 terms first to check if it is a simple arithmetic progression before assuming more complex patterns like squares or cubes.